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Popular >

|9x+2|+4<6

Solution

∣ 9 x + 2 ∣ + 4 < 6

Solution

- \frac{4}{9} < x < 0

+2

Interval Notation

(- \frac{4}{9}, 0)

Decimal Notation

- 0.44444 \dots < x < 0

Solution steps

∣ 9 x + 2 ∣ + 4 < 6

Move

4

to the right side

∣ 9 x + 2 ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < 9 x + 2 < 2

9 x + 2 > - 2 and 9 x + 2 < 2

x > - \frac{4}{9} and x < 0

Merge Overlapping Intervals

- \frac{4}{9} < x < 0

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\frac{- 25}{- 5}

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Frequently Asked Questions (FAQ)

What is |9x+2|+4<6 ?
The solution to |9x+2|+4<6 is -4/9 <x<0